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Quantum heat engine based on level degeneracy.

George Thomas1,2, Debmalya Das3, Sibasish Ghosh1

  • 1Optics and Quantum Information Group, Institute of Mathematical Sciences, HBNI, CIT Campus, Taramani, Chennai 600113, India.

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This study explores a quantum Stirling cycle, converting particle position uncertainty into work. The engine

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Area of Science:

  • Quantum thermodynamics
  • Statistical mechanics
  • Condensed matter physics

Background:

  • Quantum engines offer novel ways to harness energy at the nanoscale.
  • Stirling cycles are a fundamental thermodynamic model with classical and quantum analogues.
  • Quantized energy levels in potential wells are key to quantum thermodynamic processes.

Purpose of the Study:

  • To investigate a quantum Stirling cycle utilizing quantized energy levels.
  • To analyze the dependence of work and efficiency on potential well parameters.
  • To explore work extraction from information without measurement.

Main Methods:

  • Modeling a quantum Stirling cycle within a potential well.
  • Analyzing the thermodynamic properties based on quantized energy levels.
  • Investigating the role of particle statistics (distinguishable, fermions, bosons) in work extraction.

Main Results:

  • Work and efficiency are dependent on the potential well length.
  • Carnot efficiency is approached in the low-temperature limit.
  • Lack of position information can be converted to work without measurement.

Conclusions:

  • Quantum Stirling engines can extract work from quantized energy levels.
  • The system approaches classical Carnot efficiency at low temperatures.
  • Information-theoretic approaches can be leveraged for work extraction in quantum systems.